This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Challenge: Accepted
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
#ifdef zisk
void debug(){cout << endl;}
template<class T, class ... U> void debug(T a, U ... b){cout << a << " ", debug(b...);}
template<class T> void pary(T l, T r) {
while (l != r) cout << *l << " ", l++;
cout << endl;
}
#else
#define debug(...) 0
#define pary(...) 0
#endif
#define ll long long
#define maxn 400005
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
int a[maxn], p[maxn];
int bp[maxn], wp[maxn];
struct BIT{
int bit[maxn];
void init(int n) {
for (int i = 0;i <= n + 1;i++) bit[i] = 0;
}
void modify(int ind, int val) {
ind++;
for (;ind < maxn;ind += ind & (-ind)) bit[ind] += val;
}
int query(int ind) {
ind++;
int ret = 0;
for (;ind > 0;ind -= ind & (-ind)) ret += bit[ind];
return ret;
}
} bit;
int main() {
io
int n;
cin >> n;
n *= 2;
string s;
cin >> s;
int mi = 0, mpos = 0, cur = 0;
for (int i = 0;i < n;i++) {
if (cur < mi) {
mi = cur;
mpos = i;
}
cur += (s[i] == 'B' ? 1 : -1);
}
int bi = 0, wi = 0;
for (int i = 0;i < n;i++) {
a[i] = (s[(mpos + i) % n] == 'B' ? 1 : -1);
if (a[i] == 1) bp[bi++] = i;
else wp[wi++] = i;
}
auto getval = [&](int x) {
for (int i = 0;i < n/2;i++) {
p[bp[i]] = (i < x ? 1 : -1);
p[wp[i]] = (i < n/2 - x ? 1 : -1);
}
int cur = 0;
bit.init(n);
ll ret = 0;
int bi = 0, wi = 0;
//debug(x);
//pary(p, p + n);
for (int i = 0;i < n;i++) {
cur += p[i];
if (cur < 0) return 0LL;
if (p[i] == 1) {
bit.modify(i, 1);
} else {
int cor = (a[i] > 0 ? wp[wi++] : bp[bi++]);
//debug(i, cor);
ret += bit.query(i) - bit.query(cor);
bit.modify(cor, -1);
}
}
//debug(ret);
return ret;
};
ll ans = 0;
for (int i = 0;i <= n / 2;i++) {
ans = max(ans, getval(i));
}
cout << ans << endl;
}
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